SOLUTION: A)draw the graph of the line that passes through the point (0,-9) and has a gradient of 4 B) draw the line y=x on the same axes C) state the point of intersection D)solve the e

Question 455758: A)draw the graph of the line that passes through the point (0,-9) and has a gradient of 4
B) draw the line y=x on the same axes
C) state the point of intersection
D)solve the equations simultaneously to confirm your answer
E) what is the equation of this line?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A)draw the graph of the line that passes through the point (0,-9) and has a gradient of 4
B) draw the line y=x on the same axes
C) state the point of intersection
D)solve the equations simultaneously to confirm your answer
E) what is the equation of this line?
..
Standard form of a straight line: y=mx+b, m=slope, b=y-intercept
For given problem:
m=4
y=4x+b
plug in given (0,-9) coordinates to find b
-9=4*0+b
b=-9
Equation of line: y=4x-9
Point of intersection
sub y for x
y=4y-9
3y=9
y=3
x=3
..
Answers:
A)draw the graph of the line that passes through the point (0,-9) and has a gradient of 4 (see following graph)
B) draw the line y=x on the same axes (see graph)
C) state the point of intersection (3,3)
D)solve the equations simultaneously to confirm your answer (see calculations above)
E) what is the equation of this line y=4x-9
..

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